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Finding the Fourth Proportional to 6,065.34, 9,089.73 and 5,458.38

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Solution

The fourth proportional to 6,065.34, 9,089.73 and 5,458.38 is: 8,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.34 : 9,089.73 = 5,458.38 : x
  2. Step 2: Convert to fraction form
    6,065.34/9,089.73 = 5,458.38/x
  3. Step 3: Cross multiply
    6,065.34x = 9,089.73 × 5,458.38
  4. Step 4: Simplify right side
    6,065.34x = 49,615,200.44
  5. Step 5: Solve for x
    x = 49,615,200.44/6,065.34
  6. Step 6: Final answer
    x = 8,180.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.